K14n11847

Knot presentations

Dowker-Thistlethwaite code

4 10 -18 -12 -22 2 -20 26 28 -6 -24 -8 14 16

Notes on presentations of K14n11847

Polynomial invariants

Jones polynomial	Data:K14n11847/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-13t^{2}+19t-19+19t^{-1}-13t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11847/Conway Polynomial
Determinant	Data:K14n11847/Determinant
Signature	Data:K14n11847/Signature
HOMFLY-PT polynomial	$-a^{2}z^{8}+a^{4}z^{6}-5a^{2}z^{6}+z^{6}+3a^{4}z^{4}-8a^{2}z^{4}+2z^{4}+a^{4}z^{2}-4a^{2}z^{2}+z^{2}a^{-2}-2z^{2}+a^{6}-a^{4}+a^{2}+2a^{-2}-2$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \text{QuantumGroups$\grave{ }$a}^3 z^{11}+\text{QuantumGroups$\grave{ }$a} z^{11}+2 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+2 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9+z^9 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^8-10 \text{QuantumGroups$\grave{ }$a}^2 z^8-5 z^8+2 \text{QuantumGroups$\grave{ }$a}^5 z^7-2 \text{QuantumGroups$\grave{ }$a}^3 z^7-3 \text{QuantumGroups$\grave{ }$a} z^7+z^7 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^6 z^6+10 \text{QuantumGroups$\grave{ }$a}^4 z^6+6 \text{QuantumGroups$\grave{ }$a}^2 z^6+3 z^6 $Failed^{-1} +5 z^6+3 \text{QuantumGroups$\grave{ }$a}^7 z^5-4 \text{QuantumGroups$\grave{ }$a}^5 z^5-4 \text{QuantumGroups$\grave{ }$a} z^5-11 z^5 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^4-9 \text{QuantumGroups$\grave{ }$a}^6 z^4-7 \text{QuantumGroups$\grave{ }$a}^4 z^4+\text{QuantumGroups$\grave{ }$a}^2 z^4-10 z^4 $Failed^{-1} -12 z^4-3 \text{QuantumGroups$\grave{ }$a}^7 z^3+6 \text{QuantumGroups$\grave{ }$a}^5 z^3+6 \text{QuantumGroups$\grave{ }$a}^3 z^3+5 \text{QuantumGroups$\grave{ }$a} z^3+8 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8 z^2+5 \text{QuantumGroups$\grave{ }$a}^6 z^2+4 \text{QuantumGroups$\grave{ }$a}^4 z^2+8 z^2 $Failed^{-1} +10 z^2-3 \text{QuantumGroups$\grave{ }$a}^5 z-3 \text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -2}

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